A long charged cylinder of linear charge density `lambda` is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders ?

Explanation

To find the electric field in the space between a long charged cylinder of linear charge density \( \lambda \) and a surrounding hollow coaxial conducting cylinder, we can use Gauss's law. Here’s a step-by-step solution:

### Step 1: Understand the Configuration
We have a long charged cylinder with a linear charge density \( \lambda \) and a coaxial conducting cylinder surrounding it. The inner cylinder has a radius \( R_A \) and the outer conducting cylinder has a radius \( R_B \).

### Step 2: Choose a Gaussian Surface
To apply Gauss's law, we need to select a cylindrical Gaussian surface that lies between the two cylinders. Let the radius of this Gaussian surface be \( R \) such that \( R_A < R < R_B \).

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